Lei Ni

Applied Mathematics · 2001–2018

A researcher in the Science corpus: 22 papers; trusts 26 researchers and is trusted by 60 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 95 citations into it; #164 of 7,620 by trust here, #128 by citations
• Geometry and Topology — 56 citations into it; #237 of 7,422 by trust here, #296 by citations
• Astronomy and Astrophysics — 32 citations into it; #1,012 of 10,964 by trust here, #2,999 by citations
• Computational Theory and Mathematics — 19 citations into it; #10,294 of 12,182 by trust here, #8,756 by citations
• Numerical Analysis — 6 citations into it
• Computational Mechanics — 5 citations into it; #8,647 of 10,001 by trust here, #1,582 by citations

Whom Lei Ni trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. G. Perelman
2. Binglong Chen
3. Cédric Villani
4. Luen-Fai Tam
5. Xiaokui Yang
6. Xiping Zhu
7. Felix Otto
8. Bennett Chow
9. Klaus H. Ecker
10. Ben Andrews

Who trusts Lei Ni overall

1. Xiaodong Cao
2. Brett Kotschwar
3. Huaihuo Cao
4. Reto Müller
5. Ovidiu Munteanu
6. Albert Chau
7. José Antonio Carrillo
8. Qi S. Zhang
9. Zhuhong Zhang
10. Luen-Fai Tam

Papers from Lei Ni's perspective

Ordered by how strongly the researchers Lei Ni trusts endorse each paper. Same corpus, a different order for every researcher.

1. The entropy formula for the Ricci flow and its geometric applications
2. Ricci flow with surgery on three-manifolds
3. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
4. ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
5. Convex functionals of probability measures and nonlinear diffusions on manifolds
6. A Convexity Principle for Interacting Gases
7. Topics in Optimal Transportation
8. Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
9. Asymptotic L1-decay of solutions of the porous medium equation to self-similarity
10. Complete Riemannian manifolds with pointwise pinched curvature

Their papers

• Local Aronson–Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds (2008) — 104 citations
• Hamilton's Ricci Flow (2018) — 560 citations
• Comparison and vanishing theorems for Kähler manifolds (2018) — 70 citations
• Flow by powers of the Gauss curvature (2016) — 95 citations
• Implicit function theorem (2015) — 265 citations
• Entropy and a convergence theorem for Gauss curvature flow in high dimension (2013) — 102 citations
• Eigenvalue Comparison on Bakry-Emery Manifolds (2011) — 68 citations
• Poincaré–Lelong equation via the Hodge–Laplace heat equation (2011) — 47 citations
• The Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspects (2010) — 215 citations
• Sharp logarithmic Sobolev inequalities on gradient solitons and applications (2008) — 116 citations
• On a classification of the gradient shrinking solitons (2007) — 152 citations
• The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects (2007) — 601 citations
• A matrix Li-Yau-Hamilton estimate for Kähler-Ricci flow (2007) — 53 citations
• Local gradient estimates of p-harmonic functions, 1/H-flow, and an entropy formula (2007) — 138 citations
• Complete manifolds with nonnegative curvature operator (2006) — 54 citations
• Ricci flow and nonnegativity of sectional curvature (2004) — 49 citations
• Plurisubharmonic functions and the structure of complete Kähler manifolds with nonnegative curvature (2003) — 57 citations
• The entropy formula for linear heat equation (2003) — 154 citations
• Plurisubharmonic functions and the Kähler-Ricci flow (2002) — 51 citations
• Matrix Li-Yau-Hamilton estimates for the heat equation on Kähler manifolds (2002) — 90 citations